Question

An equilateral triangle has sides of length x+1 cm
an square has the sides of x-2 cm
The triangle and the square have the same perimeter

A) write down an equation in terms of x that links the perimeter of each shape
b) Solve the equation to find value of x
c) Write down the length of each side of the square


Plz answer it fast

Answer 1

QuestioN :

An equilateral triangle has sides of length x+1 cm an square has the sides of x-2 cm The triangle and the square have the same perimeter

a) write down an equation in terms of x that links the perimeter of each shape.

b) Solve the equation to find value of x.

c) Write down the length of each side of the square .

GiveN :

• An equilateral triangle has sides of length (x+1)cm  and a square has the sides of (x-2)cm  .
• The triangle and the square have the same perimeter  

To FiNd :

• a) write down an equation in terms of x that links the perimeter of each shape.
• b) Solve the equation to find value of x.
• c) Write down the length of each side of the square.

ANswer :

1. ∴3(x + 1) = 4(x - 2)
2. ∴ x = 11      
3. ∴Side of square = 9 cm

SolutioN :

Side of equilateral triangle = (x + 1) cm

Side of square = (x - 2) cm

Perimeter of equilateral triangle = Perimeter of square

Now we know,

→ Perimeter of equilateral triangle = 3 × Side

→ Perimeter of square = 4 × Side

Now atq,

⇒ 3(x + 1) = 4(x - 2)           [Answer of (A)]

Now solving the equation :

⇒ 3x + 3 = 4x - 8

⇒ 4x - 3x = 8 + 3

⇒ x = 11                [Answer of (b)]

Now length of each side of square :

⇒ Side of square = x - 2

⇒ Side of square = 11 - 2

⇒ Side of square = 9 cm           [Answer of (c)]